12966480 has 240 divisors, whose sum is σ = 48746880. Its totient is φ = 3193344.

The previous prime is 12966469. The next prime is 12966491. The reversal of 12966480 is 8466921.

12966480 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12966469) and next prime (12966491).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447106 + ... + 447134.

It is an arithmetic number, because the mean of its divisors is an integer number (203112).

It is a vampire number, since it can be written as 2610 ⋅ 4968 (with its own digits).

Almost surely, 2^12966480 is an apocalyptic number.

12966480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12966480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440).

12966480 is an abundant number, since it is smaller than the sum of its proper divisors (35780400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12966480 is a wasteful number, since it uses less digits than its factorization.

12966480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 12966480 is about 3600.8998875281. The cubic root of 12966480 is about 234.9312006236.

It can be divided in two parts, 1296 and 6480, that added together give a 5-th power (7776 = 6⁵).

The spelling of 12966480 in words is "twelve million, nine hundred sixty-six thousand, four hundred eighty".